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   <div id="projectname">CMU462 Library
   &#160;<span id="projectnumber">1.0</span>
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   <div id="projectbrief">15-462/15-662: Computer Graphics (Fall 2015)</div>
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<li class="navelem"><a class="el" href="dir_d44c64559bbebec7f509842c48db8b23.html">include</a></li><li class="navelem"><a class="el" href="dir_93cde9e1f49b119e2b24d2ae2dcc682a.html">CMU462</a></li>  </ul>
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<div class="title">vector4D.h</div>  </div>
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<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef CMU462_VECTOR4D_H</span></div>
<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define CMU462_VECTOR4D_H</span></div>
<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &quot;CMU462.h&quot;</span></div>
<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &quot;vector3D.h&quot;</span></div>
<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;</div>
<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;ostream&gt;</span></div>
<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespace_c_m_u462.html">CMU462</a> {</div>
<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
<div class="line"><a name="l00015"></a><span class="lineno"><a class="line" href="class_c_m_u462_1_1_vector4_d.html">   15</a></span>&#160;<span class="keyword">class </span><a class="code" href="class_c_m_u462_1_1_vector4_d.html">Vector4D</a> {</div>
<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160; <span class="keyword">public</span>:</div>
<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;</div>
<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;  <span class="comment">// components</span></div>
<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;  <span class="keywordtype">double</span> x, y, z, w;</div>
<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;</div>
<div class="line"><a name="l00025"></a><span class="lineno"><a class="line" href="class_c_m_u462_1_1_vector4_d.html#a1e930c168b0e56b6ee1b14937644a318">   25</a></span>&#160; <a class="code" href="class_c_m_u462_1_1_vector4_d.html#a1e930c168b0e56b6ee1b14937644a318">Vector4D</a>() : x( 0.0 ), y( 0.0 ), z( 0.0 ), w( 0.0 ) { }</div>
<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;</div>
<div class="line"><a name="l00031"></a><span class="lineno"><a class="line" href="class_c_m_u462_1_1_vector4_d.html#a277de054e1fbd2c1663957dd63bcccfa">   31</a></span>&#160; <a class="code" href="class_c_m_u462_1_1_vector4_d.html#a277de054e1fbd2c1663957dd63bcccfa">Vector4D</a>( <span class="keywordtype">double</span> x, <span class="keywordtype">double</span> y, <span class="keywordtype">double</span> z, <span class="keywordtype">double</span> w) : x( x ), y( y ), z( z ), w( w ) { }</div>
<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;</div>
<div class="line"><a name="l00037"></a><span class="lineno"><a class="line" href="class_c_m_u462_1_1_vector4_d.html#a1d876deff8c84f3eb1b7addd9f4fcf73">   37</a></span>&#160; <a class="code" href="class_c_m_u462_1_1_vector4_d.html#a1d876deff8c84f3eb1b7addd9f4fcf73">Vector4D</a>( <span class="keywordtype">double</span> x, <span class="keywordtype">double</span> y, <span class="keywordtype">double</span> z) : x( x ), y( y ), z( z ), w( 0.0 ) { }</div>
<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;</div>
<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;</div>
<div class="line"><a name="l00044"></a><span class="lineno"><a class="line" href="class_c_m_u462_1_1_vector4_d.html#a8c865329caeaacad96a8469468ce2e7a">   44</a></span>&#160; <a class="code" href="class_c_m_u462_1_1_vector4_d.html#a8c865329caeaacad96a8469468ce2e7a">Vector4D</a>( <span class="keywordtype">double</span> c ) : x( c ), y( c ), z( c ), w ( c ) { }</div>
<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;</div>
<div class="line"><a name="l00050"></a><span class="lineno"><a class="line" href="class_c_m_u462_1_1_vector4_d.html#af8d30f086264e3d702fb0fc62d916cca">   50</a></span>&#160; <a class="code" href="class_c_m_u462_1_1_vector4_d.html#af8d30f086264e3d702fb0fc62d916cca">Vector4D</a>( <span class="keyword">const</span> <a class="code" href="class_c_m_u462_1_1_vector4_d.html">Vector4D</a>&amp; v ) : x( v.x ), y( v.y ), z( v.z ), w( v.w ) { }</div>
<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;</div>
<div class="line"><a name="l00056"></a><span class="lineno"><a class="line" href="class_c_m_u462_1_1_vector4_d.html#a42c4daedf87cecf77a85e3db0d632731">   56</a></span>&#160; <a class="code" href="class_c_m_u462_1_1_vector4_d.html#a42c4daedf87cecf77a85e3db0d632731">Vector4D</a>( <span class="keyword">const</span> <a class="code" href="class_c_m_u462_1_1_vector3_d.html">Vector3D</a>&amp; v ) : x( v.x ), y( v.y ), z( v.z ), w( 0.0 ) { }</div>
<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;</div>
<div class="line"><a name="l00062"></a><span class="lineno"><a class="line" href="class_c_m_u462_1_1_vector4_d.html#a5c580be6fe61d6b008141168a7bcc0b4">   62</a></span>&#160; <a class="code" href="class_c_m_u462_1_1_vector4_d.html#a5c580be6fe61d6b008141168a7bcc0b4">Vector4D</a>( <span class="keyword">const</span> <a class="code" href="class_c_m_u462_1_1_vector3_d.html">Vector3D</a>&amp; v, <span class="keywordtype">double</span> w ) : x( v.x ), y( v.y ), z( v.z ), w( w ) { }</div>
<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;</div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;  <span class="comment">// returns reference to the specified component (0-based indexing: x, y, z)</span></div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;  <span class="keyword">inline</span> <span class="keywordtype">double</span>&amp; operator[] ( <span class="keyword">const</span> <span class="keywordtype">int</span>&amp; index ) {</div>
<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;    <span class="keywordflow">return</span> ( &amp;x )[ index ];</div>
<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;  }</div>
<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;</div>
<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;  <span class="comment">// returns const reference to the specified component (0-based indexing: x, y, z)</span></div>
<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;  <span class="keyword">inline</span> <span class="keyword">const</span> <span class="keywordtype">double</span>&amp; operator[] ( <span class="keyword">const</span> <span class="keywordtype">int</span>&amp; index )<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;    <span class="keywordflow">return</span> ( &amp;x )[ index ];</div>
<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;  }</div>
<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;</div>
<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;  <span class="comment">// negation</span></div>
<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;  <span class="keyword">inline</span> <a class="code" href="class_c_m_u462_1_1_vector4_d.html#a1e930c168b0e56b6ee1b14937644a318">Vector4D</a> operator-( <span class="keywordtype">void</span> )<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;    <span class="keywordflow">return</span> <a class="code" href="class_c_m_u462_1_1_vector4_d.html#a1e930c168b0e56b6ee1b14937644a318">Vector4D</a>( -x, -y, -z, -w);</div>
<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;  }</div>
<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;</div>
<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;  <span class="comment">// addition</span></div>
<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;  <span class="keyword">inline</span> <a class="code" href="class_c_m_u462_1_1_vector4_d.html#a1e930c168b0e56b6ee1b14937644a318">Vector4D</a> operator+( <span class="keyword">const</span> <a class="code" href="class_c_m_u462_1_1_vector4_d.html#a1e930c168b0e56b6ee1b14937644a318">Vector4D</a>&amp; v )<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;    <span class="keywordflow">return</span> <a class="code" href="class_c_m_u462_1_1_vector4_d.html#a1e930c168b0e56b6ee1b14937644a318">Vector4D</a>( x + v.x, y + v.y, z + v.z, w + v.w);</div>
<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;  }</div>
<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;</div>
<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;  <span class="comment">// subtraction</span></div>
<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;  <span class="keyword">inline</span> <a class="code" href="class_c_m_u462_1_1_vector4_d.html#a1e930c168b0e56b6ee1b14937644a318">Vector4D</a> operator-( <span class="keyword">const</span> <a class="code" href="class_c_m_u462_1_1_vector4_d.html#a1e930c168b0e56b6ee1b14937644a318">Vector4D</a>&amp; v )<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;    <span class="keywordflow">return</span> <a class="code" href="class_c_m_u462_1_1_vector4_d.html#a1e930c168b0e56b6ee1b14937644a318">Vector4D</a>( x - v.x, y - v.y, z - v.z, w - v.w );</div>
<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;  }</div>
<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;</div>
<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;  <span class="comment">// right scalar multiplication</span></div>
<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;  <span class="keyword">inline</span> <a class="code" href="class_c_m_u462_1_1_vector4_d.html#a1e930c168b0e56b6ee1b14937644a318">Vector4D</a> operator*( <span class="keyword">const</span> <span class="keywordtype">double</span>&amp; c )<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;    <span class="keywordflow">return</span> <a class="code" href="class_c_m_u462_1_1_vector4_d.html#a1e930c168b0e56b6ee1b14937644a318">Vector4D</a>( x * c, y * c, z * c, w * c );</div>
<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;  }</div>
<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;</div>
<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;  <span class="comment">// scalar division</span></div>
<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;  <span class="keyword">inline</span> <a class="code" href="class_c_m_u462_1_1_vector4_d.html#a1e930c168b0e56b6ee1b14937644a318">Vector4D</a> operator/( <span class="keyword">const</span> <span class="keywordtype">double</span>&amp; c )<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;    <span class="keyword">const</span> <span class="keywordtype">double</span> rc = 1.0/c;</div>
<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;    <span class="keywordflow">return</span> <a class="code" href="class_c_m_u462_1_1_vector4_d.html#a1e930c168b0e56b6ee1b14937644a318">Vector4D</a>( rc * x, rc * y, rc * z, rc * w );</div>
<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;  }</div>
<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;</div>
<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;  <span class="comment">// addition / assignment</span></div>
<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;  <span class="keyword">inline</span> <span class="keywordtype">void</span> operator+=( <span class="keyword">const</span> <a class="code" href="class_c_m_u462_1_1_vector4_d.html#a1e930c168b0e56b6ee1b14937644a318">Vector4D</a>&amp; v ) {</div>
<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;    x += v.x; y += v.y; z += v.z; z += v.w;</div>
<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;  }</div>
<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;</div>
<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;  <span class="comment">// subtraction / assignment</span></div>
<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;  <span class="keyword">inline</span> <span class="keywordtype">void</span> operator-=( <span class="keyword">const</span> <a class="code" href="class_c_m_u462_1_1_vector4_d.html#a1e930c168b0e56b6ee1b14937644a318">Vector4D</a>&amp; v ) {</div>
<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;    x -= v.x; y -= v.y; z -= v.z; w -= v.w;</div>
<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;  }</div>
<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;</div>
<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;  <span class="comment">// scalar multiplication / assignment</span></div>
<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;  <span class="keyword">inline</span> <span class="keywordtype">void</span> operator*=( <span class="keyword">const</span> <span class="keywordtype">double</span>&amp; c ) {</div>
<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;    x *= c; y *= c; z *= c; w *= c;</div>
<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;  }</div>
<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;</div>
<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;  <span class="comment">// scalar division / assignment</span></div>
<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;  <span class="keyword">inline</span> <span class="keywordtype">void</span> operator/=( <span class="keyword">const</span> <span class="keywordtype">double</span>&amp; c ) {</div>
<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;    (*this) *= ( 1./c );</div>
<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;  }</div>
<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;</div>
<div class="line"><a name="l00123"></a><span class="lineno"><a class="line" href="class_c_m_u462_1_1_vector4_d.html#abec701db9f3125be7c2c7569d9c82e51">  123</a></span>&#160;  <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="class_c_m_u462_1_1_vector4_d.html#abec701db9f3125be7c2c7569d9c82e51">norm</a>( <span class="keywordtype">void</span> )<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;    <span class="keywordflow">return</span> sqrt( x*x + y*y + z*z + w*w );</div>
<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;  }</div>
<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;</div>
<div class="line"><a name="l00130"></a><span class="lineno"><a class="line" href="class_c_m_u462_1_1_vector4_d.html#ab2d4841f7a7a5669e5436c35803eb954">  130</a></span>&#160;  <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="class_c_m_u462_1_1_vector4_d.html#ab2d4841f7a7a5669e5436c35803eb954">norm2</a>( <span class="keywordtype">void</span> )<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;    <span class="keywordflow">return</span> x*x + y*y + z*z + w*w;</div>
<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;  }</div>
<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;</div>
<div class="line"><a name="l00137"></a><span class="lineno"><a class="line" href="class_c_m_u462_1_1_vector4_d.html#ae374d31af8bc0300a884f04a62cdb890">  137</a></span>&#160;  <span class="keyword">inline</span> <a class="code" href="class_c_m_u462_1_1_vector4_d.html">Vector4D</a> <a class="code" href="class_c_m_u462_1_1_vector4_d.html#ae374d31af8bc0300a884f04a62cdb890">unit</a>( <span class="keywordtype">void</span> )<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;    <span class="keywordtype">double</span> rNorm = 1. / sqrt( x*x + y*y + z*z + w*w);</div>
<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;    <span class="keywordflow">return</span> <a class="code" href="class_c_m_u462_1_1_vector4_d.html#a1e930c168b0e56b6ee1b14937644a318">Vector4D</a>( rNorm*x, rNorm*y, rNorm*z );</div>
<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;  }</div>
<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;</div>
<div class="line"><a name="l00146"></a><span class="lineno"><a class="line" href="class_c_m_u462_1_1_vector4_d.html#aa473c7f0bc98a04c9894dd4f920b8a56">  146</a></span>&#160;  <span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code" href="class_c_m_u462_1_1_vector4_d.html#aa473c7f0bc98a04c9894dd4f920b8a56">normalize</a>( <span class="keywordtype">void</span> ) {</div>
<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;    (*this) /= <a class="code" href="class_c_m_u462_1_1_vector4_d.html#abec701db9f3125be7c2c7569d9c82e51">norm</a>();</div>
<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;  }</div>
<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;</div>
<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;  <a class="code" href="class_c_m_u462_1_1_vector3_d.html">Vector3D</a> <a class="code" href="class_c_m_u462_1_1_vector4_d.html#a8c90167b5f0cbfb7861cd90bd6bf86c0">to3D</a>();</div>
<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;</div>
<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;  <a class="code" href="class_c_m_u462_1_1_vector3_d.html">Vector3D</a> <a class="code" href="class_c_m_u462_1_1_vector4_d.html#ab72c793ce61f9f963643e853b5155ac0">projectTo3D</a>();</div>
<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;</div>
<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;}; <span class="comment">// class Vector4D</span></div>
<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;</div>
<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;<span class="comment">// left scalar multiplication</span></div>
<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;<span class="keyword">inline</span> Vector4D operator* ( <span class="keyword">const</span> <span class="keywordtype">double</span>&amp; c, <span class="keyword">const</span> Vector4D&amp; v ) {</div>
<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;  <span class="keywordflow">return</span> Vector4D( c * v.x, c * v.y, c * v.z, c*v.w );</div>
<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;}</div>
<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;</div>
<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;<span class="comment">// dot product (a.k.a. inner or scalar product)</span></div>
<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;<span class="keyword">inline</span> <span class="keywordtype">double</span> dot( <span class="keyword">const</span> Vector4D&amp; u, <span class="keyword">const</span> Vector4D&amp; v ) {</div>
<div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;  <span class="keywordflow">return</span> u.x*v.x + u.y*v.y + u.z*v.z + u.w*v.w;;</div>
<div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;}</div>
<div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;</div>
<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;<span class="comment">// prints components</span></div>
<div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;std::ostream&amp; operator&lt;&lt;( std::ostream&amp; os, <span class="keyword">const</span> Vector4D&amp; v );</div>
<div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;</div>
<div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;} <span class="comment">// namespace CMU462</span></div>
<div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;</div>
<div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;<span class="preprocessor">#endif // CMU462_VECTOR3D_H</span></div>
<div class="ttc" id="class_c_m_u462_1_1_vector4_d_html_a277de054e1fbd2c1663957dd63bcccfa"><div class="ttname"><a href="class_c_m_u462_1_1_vector4_d.html#a277de054e1fbd2c1663957dd63bcccfa">CMU462::Vector4D::Vector4D</a></div><div class="ttdeci">Vector4D(double x, double y, double z, double w)</div><div class="ttdoc">Constructor. </div><div class="ttdef"><b>Definition:</b> vector4D.h:31</div></div>
<div class="ttc" id="class_c_m_u462_1_1_vector4_d_html_a8c90167b5f0cbfb7861cd90bd6bf86c0"><div class="ttname"><a href="class_c_m_u462_1_1_vector4_d.html#a8c90167b5f0cbfb7861cd90bd6bf86c0">CMU462::Vector4D::to3D</a></div><div class="ttdeci">Vector3D to3D()</div><div class="ttdoc">Converts this vector to a 3D vector ignoring the w component. </div><div class="ttdef"><b>Definition:</b> vector4D.cpp:10</div></div>
<div class="ttc" id="class_c_m_u462_1_1_vector4_d_html_ab72c793ce61f9f963643e853b5155ac0"><div class="ttname"><a href="class_c_m_u462_1_1_vector4_d.html#ab72c793ce61f9f963643e853b5155ac0">CMU462::Vector4D::projectTo3D</a></div><div class="ttdeci">Vector3D projectTo3D()</div><div class="ttdoc">Converts this vector to a 3D vector by dividing x, y, and z by w. </div><div class="ttdef"><b>Definition:</b> vector4D.cpp:14</div></div>
<div class="ttc" id="class_c_m_u462_1_1_vector4_d_html_ae374d31af8bc0300a884f04a62cdb890"><div class="ttname"><a href="class_c_m_u462_1_1_vector4_d.html#ae374d31af8bc0300a884f04a62cdb890">CMU462::Vector4D::unit</a></div><div class="ttdeci">Vector4D unit(void) const </div><div class="ttdoc">Returns unit vector. </div><div class="ttdef"><b>Definition:</b> vector4D.h:137</div></div>
<div class="ttc" id="namespace_c_m_u462_html"><div class="ttname"><a href="namespace_c_m_u462.html">CMU462</a></div><div class="ttdef"><b>Definition:</b> CMU462.h:8</div></div>
<div class="ttc" id="class_c_m_u462_1_1_vector4_d_html"><div class="ttname"><a href="class_c_m_u462_1_1_vector4_d.html">CMU462::Vector4D</a></div><div class="ttdoc">Defines 4D standard vectors. </div><div class="ttdef"><b>Definition:</b> vector4D.h:15</div></div>
<div class="ttc" id="class_c_m_u462_1_1_vector3_d_html"><div class="ttname"><a href="class_c_m_u462_1_1_vector3_d.html">CMU462::Vector3D</a></div><div class="ttdoc">Defines 3D vectors. </div><div class="ttdef"><b>Definition:</b> vector3D.h:14</div></div>
<div class="ttc" id="class_c_m_u462_1_1_vector4_d_html_abec701db9f3125be7c2c7569d9c82e51"><div class="ttname"><a href="class_c_m_u462_1_1_vector4_d.html#abec701db9f3125be7c2c7569d9c82e51">CMU462::Vector4D::norm</a></div><div class="ttdeci">double norm(void) const </div><div class="ttdoc">Returns Euclidean distance metric extended to 4 dimensions. </div><div class="ttdef"><b>Definition:</b> vector4D.h:123</div></div>
<div class="ttc" id="class_c_m_u462_1_1_vector4_d_html_af8d30f086264e3d702fb0fc62d916cca"><div class="ttname"><a href="class_c_m_u462_1_1_vector4_d.html#af8d30f086264e3d702fb0fc62d916cca">CMU462::Vector4D::Vector4D</a></div><div class="ttdeci">Vector4D(const Vector4D &amp;v)</div><div class="ttdoc">Constructor. </div><div class="ttdef"><b>Definition:</b> vector4D.h:50</div></div>
<div class="ttc" id="class_c_m_u462_1_1_vector4_d_html_a1d876deff8c84f3eb1b7addd9f4fcf73"><div class="ttname"><a href="class_c_m_u462_1_1_vector4_d.html#a1d876deff8c84f3eb1b7addd9f4fcf73">CMU462::Vector4D::Vector4D</a></div><div class="ttdeci">Vector4D(double x, double y, double z)</div><div class="ttdoc">Constructor. </div><div class="ttdef"><b>Definition:</b> vector4D.h:37</div></div>
<div class="ttc" id="class_c_m_u462_1_1_vector4_d_html_ab2d4841f7a7a5669e5436c35803eb954"><div class="ttname"><a href="class_c_m_u462_1_1_vector4_d.html#ab2d4841f7a7a5669e5436c35803eb954">CMU462::Vector4D::norm2</a></div><div class="ttdeci">double norm2(void) const </div><div class="ttdoc">Returns Euclidean length squared. </div><div class="ttdef"><b>Definition:</b> vector4D.h:130</div></div>
<div class="ttc" id="class_c_m_u462_1_1_vector4_d_html_a5c580be6fe61d6b008141168a7bcc0b4"><div class="ttname"><a href="class_c_m_u462_1_1_vector4_d.html#a5c580be6fe61d6b008141168a7bcc0b4">CMU462::Vector4D::Vector4D</a></div><div class="ttdeci">Vector4D(const Vector3D &amp;v, double w)</div><div class="ttdoc">Constructor. </div><div class="ttdef"><b>Definition:</b> vector4D.h:62</div></div>
<div class="ttc" id="class_c_m_u462_1_1_vector4_d_html_a42c4daedf87cecf77a85e3db0d632731"><div class="ttname"><a href="class_c_m_u462_1_1_vector4_d.html#a42c4daedf87cecf77a85e3db0d632731">CMU462::Vector4D::Vector4D</a></div><div class="ttdeci">Vector4D(const Vector3D &amp;v)</div><div class="ttdoc">Constructor. </div><div class="ttdef"><b>Definition:</b> vector4D.h:56</div></div>
<div class="ttc" id="class_c_m_u462_1_1_vector4_d_html_a8c865329caeaacad96a8469468ce2e7a"><div class="ttname"><a href="class_c_m_u462_1_1_vector4_d.html#a8c865329caeaacad96a8469468ce2e7a">CMU462::Vector4D::Vector4D</a></div><div class="ttdeci">Vector4D(double c)</div><div class="ttdoc">Constructor. </div><div class="ttdef"><b>Definition:</b> vector4D.h:44</div></div>
<div class="ttc" id="class_c_m_u462_1_1_vector4_d_html_a1e930c168b0e56b6ee1b14937644a318"><div class="ttname"><a href="class_c_m_u462_1_1_vector4_d.html#a1e930c168b0e56b6ee1b14937644a318">CMU462::Vector4D::Vector4D</a></div><div class="ttdeci">Vector4D()</div><div class="ttdoc">Constructor. </div><div class="ttdef"><b>Definition:</b> vector4D.h:25</div></div>
<div class="ttc" id="class_c_m_u462_1_1_vector4_d_html_aa473c7f0bc98a04c9894dd4f920b8a56"><div class="ttname"><a href="class_c_m_u462_1_1_vector4_d.html#aa473c7f0bc98a04c9894dd4f920b8a56">CMU462::Vector4D::normalize</a></div><div class="ttdeci">void normalize(void)</div><div class="ttdoc">Divides by Euclidean length. </div><div class="ttdef"><b>Definition:</b> vector4D.h:146</div></div>
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